Highlights
Vilmart, Gilles
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2020
Scientific Articles
Preprints
unige:136314![]() ![]() | Drift-preserving numerical integrators for stochastic Poisson systems | Cohen, David; Vilmart, Gilles; |
Thesis supervisions
unige:145482![]() ![]() | Explicit Stabilized Methods for Stiff Stochastic Differential Equations and Stiff Optimal Control Problems | Almuslimani, Ibrahim; |
2019
Scientific Articles
unige:118369![]() ![]() | Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations | Abdulle, Assyr; Pavliotis, Grigorios A.; Vilmart, Gilles; |
unige:118370![]() ![]() | Highly oscillatory problems with time-dependent vanishing frequency | Chartier, Philippe; Lemou, Mohammed; Méhats, Florian; Vilmart, Gilles; |
2018
Scientific Articles
unige:105971![]() ![]() | Optimal explicit stabilized integrator of weak order one for stiff and ergodic stochastic differential equations | Abdulle, Assyr; Almuslimani, Ibrahim; Vilmart, Gilles; |
2017
Scientific Articles
unige:102841![]() ![]() | Computing the long term evolution of the solar system with geometric numerical integrators | Fiorelli, Shaula; Vilmart, Gilles; |
unige:96975![]() ![]() | Fast Langevin based algorithm for MCMC in high dimensions | Durmus, Alain; Roberts, Gareth O.; Vilmart, Gilles; Zygalakis, Konstantinos C.; |
Master's thesis supervisions
unige:121404![]() ![]() | Splitting methods for the Schrödinger equation with absorbing boundary conditions | Bertoli, Guillaume Balthazar; |
2016
Scientific Articles
unige:80936![]() ![]() | Asymptotic Preserving numerical schemes for multiscale parabolic problems | Crouseilles, Nicolas; Lemou, Mohammed; Vilmart, Gilles; |
unige:86147![]() ![]() | High Order Integrator for Sampling the Invariant Distribution of a Class of Parabolic Stochastic PDEs with Additive Space-Time Noise | Bréhier, Charles-Edouard; Vilmart, Gilles; |
2015
Scientific Articles
Contributions à un dictionnaire / une encyclopédie
unige:79453![]() ![]() | Rigid body dynamics | Vilmart, Gilles; |
2014
Scientific Articles
2013
Scientific Articles
2012
Scientific Articles
2011
Scientific Articles
2010
Scientific Articles
unige:12105![]() ![]() | Algebraic structures of B-series | Chartier, Philippe; Hairer, Ernst; Vilmart, Gilles; |
2009
Scientific Articles
unige:10685![]() ![]() | Splitting methods with complex times for parabolic equations | Castella, F.; Chartier, P.; Descombes, S.; Vilmart, Gilles; |
unige:5210![]() ![]() | The role of symplectic integrators in optimal control | Chyba, Monique; Hairer, Ernst; Vilmart, Gilles; |
2008
Scientific Articles
unige:42005![]() ![]() | Reducing round-off errors in rigid body dynamics | Vilmart, Gilles; |
Doctoral Thesis
unige:1337![]() ![]() | Étude d'intégrateurs géométriques pour des équations différentielles | Vilmart, Gilles; |
2007
Scientific Articles
unige:12055![]() ![]() | Modified differential equations | Chartier, Philippe; Hairer, Ernst; Vilmart, Gilles; |
unige:9712![]() ![]() | Numerical integrators based on modified differential equations | Chartier, Philippe; Hairer, Ernst; Vilmart, Gilles; |
2006
Scientific Articles
unige:12110![]() ![]() | Preprocessed Discrete Moser-Veselov algorithm for the full dynamics of the rigid body | Hairer, Ernst; Vilmart, Gilles; |
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